不 Lifetimes of electronic components can often be modeled by an exponential model. Suppose quality control engineers want to model the lifetime of a hard drive to have a mean lifetime of 4 years. Complete parts a and b below. a) What value of should they use? They should use a value of for λ. 4 (Type an integer or a fraction.) b) With this model, what would the probability be that a hard drive lasts 8 years or less? The probability is (Type an integer or a decimal. Round to three decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 43E
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Lifetimes of electronic components can often be modeled by an exponential model. Suppose quality control engineers want to model the lifetime of a hard drive to have a mean lifetime of 4 years.
Complete parts a and b below.
a) What value of should they use?
They should use a value of
for λ.
4
(Type an integer or a fraction.)
b) With this model, what would the probability be that a hard drive lasts 8 years or less?
The probability is
(Type an integer or a decimal. Round to three decimal places as needed.)
Transcribed Image Text:不 Lifetimes of electronic components can often be modeled by an exponential model. Suppose quality control engineers want to model the lifetime of a hard drive to have a mean lifetime of 4 years. Complete parts a and b below. a) What value of should they use? They should use a value of for λ. 4 (Type an integer or a fraction.) b) With this model, what would the probability be that a hard drive lasts 8 years or less? The probability is (Type an integer or a decimal. Round to three decimal places as needed.)
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